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Finding the Fourth Proportional to 724,336,923.10, 1,086,505,384.65 and 724,336,923.10

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Solution

The fourth proportional to 724,336,923.10, 1,086,505,384.65 and 724,336,923.10 is: 1,086,505,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,336,923.10 : 1,086,505,384.65 = 724,336,923.10 : x
  2. Step 2: Convert to fraction form
    724,336,923.10/1,086,505,384.65 = 724,336,923.10/x
  3. Step 3: Cross multiply
    724,336,923.10x = 1,086,505,384.65 × 724,336,923.10
  4. Step 4: Simplify right side
    724,336,923.10x = 786,995,967,248,963,072
  5. Step 5: Solve for x
    x = 786,995,967,248,963,072/724,336,923.10
  6. Step 6: Final answer
    x = 1,086,505,384.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.